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Simplifying -14 + -1 + 29 + -38 = -5 + -2m + -6 + 3m Combine like terms: -14 + -1 = -15 -15 + 29 + -38 = -5 + -2m + -6 + 3m Combine like terms: -15 + 29 = 14 14 + -38 = -5 + -2m + -6 + 3m Combine like terms: 14 + -38 = -24 -24 = -5 + -2m + -6 + 3m Reorder the terms: -24 = -5 + -6 + -2m + 3m Combine like terms: -5 + -6 = -11 -24 = -11 + -2m + 3m Combine like terms: -2m + 3m = 1m -24 = -11 + 1m Solving -24 = -11 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -24 + -1m = -11 + 1m + -1m Combine like terms: 1m + -1m = 0 -24 + -1m = -11 + 0 -24 + -1m = -11 Add '24' to each side of the equation. -24 + 24 + -1m = -11 + 24 Combine like terms: -24 + 24 = 0 0 + -1m = -11 + 24 -1m = -11 + 24 Combine like terms: -11 + 24 = 13 -1m = 13 Divide each side by '-1'. m = -13 Simplifying m = -13
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